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Because Majorana zero modes store quantum information non-locally, they are protected from noise, and have been proposed as a building block for a quantum computer. We show how to use the same protection from noise to implement universal…

Quantum Physics · Physics 2018-06-05 T. E. O'Brien , P. Rożek , A. R. Akhmerov

Topological quantum memories in two dimensions are not thermally stable, since once a quasiparticle excitation is created, it will delocalise at no energy cost. This places an upper bound on the lifetime of quantum information stored in…

Quantum Physics · Physics 2013-10-01 David Herrera-Martí , Ying Li , Leong Chuan Kwek

We study how well topological quantum codes can tolerate coherent noise caused by systematic unitary errors such as unwanted $Z$-rotations. Our main result is an efficient algorithm for simulating quantum error correction protocols based on…

Quantum Physics · Physics 2018-11-01 Sergey Bravyi , Matthias Englbrecht , Robert Koenig , Nolan Peard

As the condensed matter analog of Majorana fermion, the Majorana zero-mode is well known as a building block of fault-tolerant topological quantum computing. This review focuses on the recent progress of Majorana experiments, especially…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Ji-Bang Fu , Bin Li , Xin-Fang Zhang , Guang-Zheng Yu , Guang-Yao Huang , Ming-Tang Deng

Physicists are attracted to open-system dynamics, how quantum systems evolve, and how they can protected from unnecessary environmental noise, especially environmental memory effects are not negligible, as with non-Markovian approximations.…

Quantum Physics · Physics 2021-06-02 Akbar Islam , An Min Wang , Ahmad Abliz

We study the dynamics and readout of topological qubits encoded by zero-energy Majorana bound states in a topological superconductor. We take into account bosonic modes due to the electromagnetic environment which couple the Majorana…

Mesoscale and Nanoscale Physics · Physics 2019-05-06 Morten I. K. Munk , Reinhold Egger , Karsten Flensberg

We explore the tunneling transport properties of a quantum dot embedded in an optical microcavity and coupled to a semiconductor-superconductor one-dimensional nanowire (Majorana nanowire) hosting Majorana zero modes (MZMs) at their edges.…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 L. S. Ricco , V. K. Kozin , A. C. Seridonio , I. A. Shelykh

I analyze the decoherence of a $\pi$-junction qubit encoded by two co-located Majorana modes. Although not topologically protected, the qubit leverages distinct spatial profiles to couple to two independent environmental baths, realizing…

Quantum Physics · Physics 2026-04-08 E. Novais

Majorana modes emerge in non-trivial topological phases at the edges of some specific materials, like proximitized semiconducting nanowires under a external magnetic field. Ideally, they are non-local states that are charge neutral…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 Samuel D. Escribano , Alfredo Levy Yeyati , Elsa Prada

Nanofabricated mechanical resonators are gaining significant momentum among potential quantum technologies due to their unique design freedom and independence from naturally occurring resonances. With their functionality being widely…

Quantum Physics · Physics 2020-08-11 Andreas Wallucks , Igor Marinković , Bas Hensen , Robert Stockill , Simon Gröblacher

The protocol of the teleportation of an arbitrary unknown one-qubit state is investigated when the quantum channel is subject to the decoherence from the non-Markovian environments with the memory effects. The quality of the teleportation…

Quantum Physics · Physics 2012-08-09 Xiang Hao , Shiqun Zhu

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

Non-Markovian features of a system evolution, stemming from memory effects, may be utilized to transfer, storage, and revive basic quantum properties of the system states. It is well known that an atom qubit undergoes non-Markovian dynamics…

Quantum Physics · Physics 2025-11-26 Ali Mortezapour , Mahdi Ahmadi Borji , DaeKil Park , Rosario Lo Franco

Quantum simulations before fault tolerance suffer from the intrinsic noise present in quantum computers. In this regime, extracting meaningful results greatly benefits from stability against that noise. This stability, defined as an error…

Quantum Physics · Physics 2026-03-24 Guillermo González-García , Filippo Maria Gambetta , Raul A. Santos

We calculate the topological boundary modes found for quantum wire for a quantum ring. For the symmetric ring we find analytical solutions for two quasi-particles identifiable as the Majorana states and for asymmetric ring, we have also…

Quantum Physics · Physics 2018-11-16 Yue Yu , Kwok Yip Szeto

Due to their nonlocality, qubits nested in Majorana bound states may be the key to realize decoherence-free quantum computation. Majorana bound states could be achieved at the ends of a one-dimensional topological superconductor. However,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hai-Feng Lu , Hai-Zhou Lu , Shun-Qing Shen

Topological quantum computing is expected to be less sensitive to noise because information is stored in global states rather than local features. To examine whether different device topologies show measurable differences, we study three…

Quantum Physics · Physics 2026-01-21 Spandan Das , Ennis Mawas

The clock speed of topological quantum computers based on Majorana zero mode (MZM)-supporting nanoscale devices is limited by the time taken for electrons to traverse the device. We employ the time-dependent Landauer-B{\"u}ttiker transport…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Michael Ridley , Eliahu Cohen , Christian Flindt , Riku Tuovinen

The realization of fault-tolerant quantum computers hinges on effective quantum error correction protocols, whose performance significantly relies on the nature of the underlying noise. In this work, we directly study the structure of…

Quantum Physics · Physics 2025-07-21 John F Kam , Spiro Gicev , Kavan Modi , Angus Southwell , Muhammad Usman

In many-body quantum systems, unitary dynamics generically delocalize locally encoded information, causing single-site metrological sensitivity to vanish. We analytically demonstrate that a topological phase can prevent this dispersal. In…

Quantum Physics · Physics 2026-05-04 Marcin Płodzień , Jan Chwedeńczuk